Ideals in transformation-group $C^*$-algebras
Astrid an Huef (University of Denver), Dana P. Williams (Dartmouth, College)
TL;DR
This paper characterizes various ideal structures within transformation-group C*-algebras, focusing on continuous-trace, Fell, liminal, and postliminal ideals, providing a detailed understanding of their organization.
Contribution
It offers a comprehensive characterization of ideals in separable transformation-group C*-algebras, including the largest Fell, liminal, and postliminal ideals, advancing the structural theory.
Findings
Characterization of the ideal of continuous-trace elements.
Identification of the largest Fell ideal.
Determination of the largest liminal and postliminal ideals.
Abstract
We characterize the ideal of continuous-trace elements in a separable transformation-group -algebra . In addition, we identify the largest Fell ideal, the largest liminal ideal and the largest postliminal ideal.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Holomorphic and Operator Theory